This paper proposes a computational approach for studying the overall behaviour and local stress state of strand-type structures. This method is based on the homogenization theory of periodic beamlike structures, with the local problem posed on the strand axial period being solved using the finite element method. This approach fully utilises the strand’s helical symmetry, thus minimising the size of the computational domain. Consequently, accounting for geometric complexity and contact interactions, which are of paramount importance for bending loads, is more straightforward. The numerical model mesh size can also be reduced thanks to the use of beam elements, and one objective of this paper is to assess the accuracy of such a model in comparison with solid element models and analytical results. These comparisons are performed on both single-layer and multi-layer strands. Results demonstrate the capability of the proposed computational approach to accurately capture the nonlinear bending behaviour stemming from the stick-slip transition as well as local stress distributions. As for the beam model, it apparently offers a very good compromise between accuracy and numerical efficiency.

本文提出了一种用于研究绞线型结构的整体行为和局部应力状态的计算方法。该方法基于周期性梁状结构的均质化理论，利用有限元方法解决了钢绞线轴向周期的局部问题。这种方法充分利用了链的螺旋对称性，从而最大限度地减少了计算域的大小。因此，考虑对弯曲载荷至关重要的几何复杂性和接触相互作用就更加直接了当。由于使用了梁单元，还可以减小数值模型的网格尺寸，本文的一个目的是通过与实体单元模型和分析结果进行比较来评估这种模型的准确性。这些比较是在单层和多层链上进行的。结果证明了所提出的计算方法能够准确捕捉由粘滑过渡以及局部应力分布引起的非线性弯曲行为。至于梁模型，它显然在精度和数值效率之间提供了很好的折衷。